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Uniformly continuous maps between ends of R-trees


Martinez Pérez, Álvaro y Morón, Manuel A. (2009) Uniformly continuous maps between ends of R-trees. Mathematische Zeitschrift, 263 (3). pp. 583-606. ISSN 0025-5874

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There is a well-known correspondence between infinite trees and ultrametric spaces which can be interpreted as an equivalence of categories and comes from considering the end space of the tree. In this equivalence, uniformly continuous maps between the end spaces are translated to some classes of coarse maps (or even classes of metrically proper Lipschitz maps) between the trees.

Tipo de documento:Artículo
Palabras clave:Tree; ultrametric; end space; coarse map; uniformly continuous; non-expansive map
Materias:Ciencias > Matemáticas > Topología
Código ID:15114

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Última Modificación:06 Feb 2014 10:16

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